P Please find in the below table the proportion of Quebecers who made a donation to specific charities in the past year.   charities homeless shelter animal rescue food bank proportion of the population 0.05 0.02 0.31   (a) What is the probability that, in a random sample of 51 people, exactly 5 of them donated to a homeless shelter?  (b) What is the probability that, in a random sample of 31 people, at least two of them made a donation to an animal rescue?  (c) Calculate the expected value and standard deviation for the number of people in a random sample of 75 people who did not donate to food banks.

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Please find in the below table the proportion of Quebecers who made a donation to specific charities in the past year.

 

charities homeless shelter animal rescue food bank
proportion of the population 0.05 0.02 0.31

 

(a) What is the probability that, in a random sample of 51 people, exactly 5 of them donated to a homeless shelter? 

(b) What is the probability that, in a random sample of 31 people, at least two of them made a donation to an animal rescue? 

(c) Calculate the expected value and standard deviation for the number of people in a random sample of 75 people who did not donate to food banks.

Expected value =

Standard deviation =

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